The Chief, possibly with a shade less of irony in his manner, answered this direct question with one equally direct: 

“And what connection have you succeeded in establishing between this abominable crime and the coat with or without a loop worn by the museum’s leading director?  One as straight and indisputable, no doubt, as that you have just attempted to make between this same gentleman and the museum bow,” he added with biting incredulity.

“Yes,” returned the other in calm disregard of the sarcasm, “straighter and more indisputable, if anything.  We are asking, as you will remember, how an arrow could have been carried from the southern to the northern gallery without attracting anyone’s attention.  I will show you how.”

With a rap on the table which brought Sweetwater into the room, he proceeded to pin again into its old place on the lining of Mr. Roberts’ coat the so-called tag.  Then, taking the arrow which Sweetwater proceeded to hand him, he slipped it into the loop thus made and showed how securely it could be held there by its feather end.

“A man of Mr. Roberts’ upright carriage might, with his coat well buttoned up, walk the length of Broadway without disclosing the presence of this stick,” remarked Mr. Gryce as, at his look, Sweetwater doffed his own coat and put on the one thus discreetly weighted.

The Chief stared, paling slightly as he noted the result.  Mr. Gryce, who never overemphasised his effects, motioned Sweetwater to leave and proceeded to the next question.

“Number Three,” he now observed, “should have come first, as it has already been answered.  It asks if it is possible to hit the mark in Section II of the museum’s gallery, from behind the pedestal in Section VIII.  From the pedestal nearest the front, no; but from the one further back—­upon which, by the way, Stevens found the print of a gloved finger—­yes.

“Who wore gloves that day—­kid gloves, mind you, for the mark of the stitching is exact, as you can see in this print of the same made by Stevens?  All the ladies, except a young copyist who was leaving in a hurry and had not stopped to put hers on.  But of the men, only one—­Mr. Roberts, the careful dresser, who was never known to enter the street without this last touch to his toilet.  How do I know this?  Look at the chart, Chief—­this one which shows the court and the persons in it at the precise minute of first alarm.  You see how near the exit Mr. Roberts was, and who was closest to him.  I had a little talk—­the most guarded one imaginable—­with this lady, who was the very one of whom I have just said that she had omitted to put on her gloves; and she gave me the fact I have just passed on to you.  She noted Mr. Roberts’ hands, because they shamed hers, and she was just stopping to pull her gloves from her coat-pocket when Correy’s voice rang out and everything else was forgotten.